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Finding the Third Proportional to 3,495.50 and 7,226.50

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Solution

The third proportional to 3,495.50 and 7,226.50 is: 14,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.50 : 7,226.50 = 7,226.50 : x
  2. Step 2: Convert to fraction form
    3,495.50/7,226.50 = 7,226.50/x
  3. Step 3: Cross multiply
    3,495.50x = 7,226.50 × 7,226.50
  4. Step 4: Simplify right side
    3,495.50x = 52,222,302.25
  5. Step 5: Solve for x
    x = 52,222,302.25/3,495.50
  6. Step 6: Final answer
    x = 14,939.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.